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variants of this functions
Log






Mathematica Notation

Traditional Notation









Elementary Functions > Log[z] > Transformations > Related transformations > Linear combinations involving the direct function > Involving tanh-1(z)





http://functions.wolfram.com/01.04.16.0164.01









  


  










Input Form





a Log[x] + b ArcTanh[y] == -2 I Pi (Floor[(-Arg[x^a] - Arg[(1 - y)^(-(b/2))] + Pi)/(2 Pi)] + Floor[(Pi - Im[a Log[x]])/(2 Pi)] + Floor[((1/2) Im[b Log[1 - y]] + Pi)/(2 Pi)]) - 2 I Pi (Floor[(-Arg[x^a/(1 - y)^(b/2)] - Arg[(y + 1)^(b/2)] + Pi)/(2 Pi)] + Floor[(Pi - Im[Log[x^a/(1 - y)^(b/2)]])/(2 Pi)] + Floor[(Pi - (1/2) Im[b Log[y + 1]])/(2 Pi)]) + Log[(x^a (y + 1)^(b/2))/(1 - y)^(b/2)]










Standard Form





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MathML Form







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Rule Form





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Date Added to functions.wolfram.com (modification date)





2007-05-02





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